Name ___________________________________ Date ________________________ COURSE: MSC IV MODULE 1: Fractions UNIT 4: Dividing Fractions Using Multiplicative Inverses As you work through the tutorial, complete the following statements and questions. 1. What improper fraction is equivalent to 7 ? __________________ Key Words: Fraction Division 2. Dividing by 3 is the same as multiplying by __________________ . 3. This means that dividing by is the same as __________ by . 4. Dividing a number by a fraction is the same as multiplying the number by the multiplicative inverse of the __________ . 5. The multiplicative inverse is another name for the ______________ . 6. What is the multiplicative inverse of ? _______________________ 7. The product of any non-zero number and its reciprocal is _______ . 8. What is 7 ⫼ expressed as a mixed number? _______________ 9. Why was the answer in problem 8 not reasonable for making timber crossties? __________________________________________ _________________________________________________________ Divisor Quotient Multiplicative inverse Reciprocal Learning Objectives: • Finding the multiplicative inverse, or reciprocal, of a number • Dividing two fractions by multiplying the dividend by the multiplicative inverse of the divisor • Interpreting an answer so that it satisfies a condition of the problem © Riverdeep, Inc. _________________________________________________________ Dividend Destination Math 33 Name ___________________________________ Date ________________________ COURSE: MSC IV MODULE 1: Fractions UNIT 4: Dividing Fractions Using Multiplicative Inverses 1. What is the multiplicative inverse of 2. What is the reciprocal of 3. Dividing by ? _________ ? _________ is the same as multiplying by _________ . 4. What is the product of a non-zero number and its reciprocal? _________ 5. What is the only number that has the same value as its reciprocal? _________ 6. Rewrite 7 ⫼ as a multiplication problem. ____________________ ? _________________________________ 7. What is 3 ⫼ 8. What is 3 ⫼ written as an improper fraction in simplest form? __________________________________________________________ 9. a. Chip wants to cut a 6-foot board into pieces that are 1 long. How many whole 1 feet - foot pieces can he cut from one board? Show your work. © Riverdeep, Inc. b. How many feet of the 6-foot board are left over? _________ Destination Math 34